基于加速度响应控制时MTMD的地震特性

研究了由多个刚度和阻尼保持为常量且频率呈线性分布的TMD形成的MTMD的地震特性。基于虚拟激励法和Kanai Tajimi及Clough Penzien地震谱 ,建立了结构 MTMD系统的加速度传递函数 ,进而导出了设置MTMD时结构的加速度动力放大系数 (ADMF)明确表达式。于是MTMD的优化准则选择为 :结构最大加速度动力放大系数的最小值的最小化 [Min .Min .Max .ADMF]。通过最优搜寻得MTMD的最优频率间隔、平均阻尼比、调谐频率比和相应的控制有效性指标。选择结构受控频率与地震卓越频率比的不同取值 ,研究地震卓越频率对MTMD最优参数及有效性的影响     

TMD的个数对其减振效果的影响

本文从地面运动为水平简谐运动时结构引入多个TMD的运动方程出发，推导了其理论解，并在此基础上，假设各个TMD拥有相同的质量、频率和阻尼，分析了在总质量一定的前提下，TMD个数的变化对其减震效果的影响。并制作拱形主结构和TMD模型进行实验验证。实验结果也得出同样的结论；即总质量一定的前提下，如果各个TMD拥有相同的质量、频率和阻尼，则其个数的变化对其减震效果的影响不大。最后，根据实验模型编制有限元程序进行模拟计算，计算结果与实验结果比较吻合。     

螺旋细杆的均匀扭转振动

讨论螺旋细杆的特殊形式扭转振动，即均匀扭转振动．以非圆截面杆和有原始曲率的圆截面杆为研究对象．杆作均匀扭转振动时各截面有相同的扭角变化规律，且杆中心线的几何形状不受振动过程的影响．研究表明，扭振来源于杆截面的非对称性及杆的原始曲率．杆的扭振规律与单摆运动相似，其动力学方程存在精确解．圆环杆的均匀扭振为螺旋杆的倾角为零时的特例．     

用自制仪器精确测定变温液体的粘滞系数

介绍了用恒流法自制仪器精确测定液体的粘滞系数.该自制仪器,能有效地保证底部的密封性、液体水位恒定和可操作性,还增设一个玻璃管连通器,附加一根标尺和游标使液体水位的测量精确度提高.并在接毛细管输出液体的量筒处加上光电计使测量液体流速的精确度提高,采用该仪器测定了水和乙醇两种液体在变温条件下的粘滞系数,经实验比对,所测得结果与理论值能较好地吻合.同时设计了可调换不同管径的毛细管,能快速准确地测量多种变温液体的粘滞系数.     

一种以2~#炸药为主要成份的塑料粘结炸药

2~#炸药[重(,,-三硝基乙基-N硝基)乙二胺]是一个零氧平衡的高能炸药。在2~#炸药中混入少量HMX,以氟橡胶粘结,以TATB、石墨和石腊组成的复合钝感剂来钝感,得到了撞击感度和摩擦感度较低的B-01炸药配方。配方组成为2~#炸药/HMX/TATB/氟橡胶/聚苯乙稀/石墨/石腊=70/22/4/2/0.5/0.5/1。 该配方的特点是冲击波感度很高,很容易用2mm直径的柔爆索起爆。其撞击感度与TNT相当(4％),摩擦感度低于14％,爆轰能量相当于PBX-9404,而且容易在低比压下制成不同形状,因此它适用于某些特殊用途的装药。     

理想导体中具有两个松弛时间的电磁热弹性波

研究处于均布磁场中的理想导体的二维电磁热弹性耦合问题，引入势函数使控制方程转化为3个偏微分方程．运用Laplace变换和Fourier变换得到该问题在变换域内的精确表达式，再通过级数展开和Laplace逆变换法求得在时间较短时的逆变换，得到时间-空间域内问题的解．运用此方法研究了表面受到热冲击的半无限空间问题．给出了电磁热弹性波、膨胀波和横向波传播的速度，并通过数值计算，给出了各个场量的分布图．所得结论与已有的结论一致．     

EXACT ANALYSIS OF WAVE PROPAGATION IN AN INFINITE RECTANGULAR BEAM

The Fourier series method was extended for the exact analysis of wave propagation in an infinite rectangular beam. Initially, by solving the three-dimensional elastodynamic equations a general analytic solution was derived for wave motion within the beam. And then for the beam with stress-free boundaries, the propagation characteristics of elastic waves were presented. This accurate wave propagation model lays a solid foundation of simultaneous control of coupled waves in the beam.     

Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrōdinger Equations

The Cauchy problem for a linear 2mth-order Schrōdinger equation ut=-i（-△）^mu, in R^N×R＋,u｜t=0=u0;m≥1 is an integer,is studied, for initial data uo in the weighted space L^2ρ（R^N）,withρ^＊（x）=e｜x｜^a and a=2m/2m-1∈（1,2].The following five problems are studied： （I） A sharp asymptotic behaviour of solutions as t → ＋∞ is governed by a discrete spectrum and a countable set Ф of the eigenfunctions of the linear rescaled operator B=-i（-△）^m＋1/2my·↓△＋N/2mI,with the spectrum σ（B）={λβ=-｜β｜≥0}. （Ⅱ） Finite-time blow-up local structures of nodal sets of solutions as t → 0^- and a formation of ＂multiple zeros＂ are described by the eigenfunctions, being generalized Hermite polynomials, of the ＂adjoint＂ operator B=-i（-△）^m-1/2my·↓△,with the same spectrum σ（B^＊）=σ（B）.Applications of these spectral results also include： （Ⅲ） a unique continuation theorem, and （IV） boundary characteristic point regularity issues. Some applications are discussed for more general linear PDEs and for the nonlinear Schr6dinger equations in the focusing （＂＋＂） and defocusing （＂-＂） cases ut=-（-△）^mu±i｜u｜^p-1u,in R^N×R＋,where P〉1,as well as for： （V） the quasilinear Schr6dinger equation of a ＂porous medium type＂ ut=-（-△）^m（｜u｜^nu）,in R^N×R＋,where n〉0.For the latter one, the main idea towards countable families of nonlinear eigenfunctions is to perform a homotopic path n → 0^＋ and to use spectral theory of the pair {B,B^＊}.     

半定矩阵秩极小的非凸精确松弛

本文主要研究半定矩阵秩极小问题(P)的非凸精确松弛及其性质.首先,为求解问题(P),我们引入其Schatten p-范数(0＜p＜1)松弛,记为(Sp).其次,通过定义半定限制等距常数和半定限制正交常数,我们给出了问题(P)有唯—解的充分条件.最后,利用半定限制等距性质,我们给出了问题(P)和(Sp)有相同唯一解的充分条件.特别地,对任意0＜p＜1,我们还得到—个一致的精确恢复条件.     

Advanced control and modeling of deposition processes

During the last decade, striking improvements could be achieved for the precise control of deposition processes in optical coating technology. For example, as a consequence of enormous progresses in measure- ment and computer technology, direct optical monitoring in a broad spectral range can be considered as a common tool in many production environments nowadays. Besides the development of the corresponding hardware and measurement channels, advanced approaches for the evaluation of the acquired data and new multiple sensor monitoring strategies moved into the focus of modern research on the way towards de- terministic deposition techniques. In this context, also innovative concepts for the simulation of deposition processes to forecast the result for a specified coating design and automatic online correction algorithms gained of importance to reduce the risk of failure in coating production. The present contribution will be dedicated to selected aspects in this field, especially addressing broad band optical monitoring systems. A short review on examples for existing hardware configurations and software tools will be presented illus- trating the advantages of modern process control techniques. Novel approaches based on the modeling of thin film growth are discussed as an additional strategy to improve the predictability of coating processes.